Vertex operator algebras generated by Ising vectors of σ-type
classification
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algebratypegeneratedisingoperatorprovesigmavectors
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We prove the uniqueness of the simple vertex operator algebra of OZ-type generated by Ising vectors of $\sigma$-type. We also prove that the simplicity can be omitted if the Griess algebra is isomorphic to the Matsuo algebra associated with the root system of type $A_n$.
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